55631564352 has 1008 divisors, whose sum is σ = 212148797952. Its totient is φ = 13795246080.

The previous prime is 55631564347. The next prime is 55631564393. The reversal of 55631564352 is 25346513655.

55631564352 is a `hidden beast` number, since 5 + 5 + 6 + 31 + 564 + 3 + 52 = 666.

55631564352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

Its product of digits (1620000) is a multiple of the sum of its prime factors (216).

It is a junction number, because it is equal to n+sod(n) for n = 55631564298 and 55631564307.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 762076188 + ... + 762076260.

Almost surely, 2^55631564352 is an apocalyptic number.

55631564352 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55631564352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106074398976).

55631564352 is an abundant number, since it is smaller than the sum of its proper divisors (156517233600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55631564352 is a wasteful number, since it uses less digits than its factorization.

55631564352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 196 counting only the distinct ones).

The product of its digits is 1620000, while the sum is 45.

The spelling of 55631564352 in words is "fifty-five billion, six hundred thirty-one million, five hundred sixty-four thousand, three hundred fifty-two".